Event-based robust filter design for a class of state-dependent uncertain systems with network transmission delay under a unified framework

In this paper, the problem of event-triggered robust filter design for a class of state-dependent uncertain systems is investigated, considering sampling and network transmission delay. The extended dissipative performance index is introduced so that H_∞, L₂−L_∞, passive and dissipative performance indices can be dealt with in a unified form. An event-triggered scheme is also utilized to control the transmission frequency of the sampled signals. Consequently, both the communication resources and the network bandwidth can be saved significantly. Then, employing the Lyapunov stability theory, sufficient conditions guaranteeing the filtering error system being exponentially stable with extended dissipativity are deduced. Based on the convex optimization, the explicit expression of the desired robust filter is derived. Finally, two numerical examples are presented to illustrate the effectiveness and applicability of the proposed theoretical results.